{"title":"Unitary orbit optimization of quantum f-divergence","authors":"Haojian Li, Xiaojing Yan","doi":"10.1007/s11128-025-04688-8","DOIUrl":null,"url":null,"abstract":"<div><p>Hirche and Tomamichel recently introduced quantum <i>f</i>-divergence as an integral of quantum Hockey stick divergence. In this paper, we study the optimization of quantum <i>f</i>-divergence between the unitary orbits. The proof relies on the well-known Lidskii’s inequality. We also generalize the result to the mixed unitary orbits.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 3","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-025-04688-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Hirche and Tomamichel recently introduced quantum f-divergence as an integral of quantum Hockey stick divergence. In this paper, we study the optimization of quantum f-divergence between the unitary orbits. The proof relies on the well-known Lidskii’s inequality. We also generalize the result to the mixed unitary orbits.
期刊介绍:
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.